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Please use this identifier to cite or link to this item:
http://hdl.handle.net/2451/14495
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| Title: | ON THE RATIONAL SCOPE OF PROBABILISTIC RULE-BASED INFERENCE SYSTEMS |
| Authors: | Schocken, Shimon |
| Issue Date: | Jun-1987 |
| Publisher: | Stern School of Business, New York University |
| Series/Report no.: | IS-87-59 |
| Abstract: | Belief updating schemes in artificial intelligence may be viewed as
three dimensional languages, consisting of a syntax (e.g. probabilities
or certainty factors), a calculus (e.g. Bayesian or CF combination
rules), and a semantics (i.e. cognitive interpretations of competing
formalisms). This paper studies the rational scope of those languages on
the syntax and calculus grounds. In particular, the paper presents an
endomorphism theorem which highlights the limitations imposed by the
conditional independence assumptions implicit in the CF calculus.
Implications of the theorem to the relationship between the CF and the
Bayesian languages and the Dempster-Shafer theory of evidence are
presented. The paper concludes with a discussion of some implications on
rule-based knowledge engineering in uncertain domains. |
| URI: | http://hdl.handle.net/2451/14495 |
| Appears in Collections: | IOMS: Information Systems Working Papers
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